Finding the Third Proportional to 11,408 and 23,584

Step by Step Solution

1. Step 1: Write the proportion equation
   11,408 : 23,584 = 23,584 : x
2. Step 2: Convert to fraction form
   11,408/23,584 = 23,584/x
3. Step 3: Cross multiply
   11,408x = 23,584 × 23,584
4. Step 4: Simplify right side
   11,408x = 556,205,056
5. Step 5: Solve for x
   x = 556,205,056/11,408
6. Step 6: Final answer
   x = 48,755.70